Thermal Flows in Porous Media

ISBN-13: 9789027722256 / Angielski / Twarda / 1987 / 194 str.

H.I. Ene;Dan Polisevski

Opis

Thermal flow in porous media is important in a wide range of areas, including oil recovery, geothermal development, the chemical and nuclear industries, civil engineering, energy storage and energy conversion. This monograph uses a systematic, rigorous and unified treatment to provide a general understanding of the phenomena involved.
General equations for single- or multiphase flow (including an arbitrary number of components inside each phase), diffusion and chemical reactions are presented. The boundary conditions which may be imposed, the non-dimensional parameters, the structure of the solutions, the stability of finite amplitude solutions and many other related topics are also studied. Although the treatment is basically mathematical, specific physical problems are also dealt with.
There are two major fields of application: natural convection and underground combustion. Both are discussed in detail. Various examples with exact or numerical solutions in the case of bounded or unbounded domains are presented, accompanied by extensive comment.

Spis treści

Introduction PART I. SINGLE PHASE FLOW Chapter 1. The Homogenization Method for the Study of Fluid Flow in Porous Media 1. Homogenization of Second-Order Equation 2. Darcy's Law and Continuity Equation 3. Thermal Equation for Flow in Porous Media 4. Natural Convection 5. Convergence of the Homogenization Process 6. Boundary Conditions 7. Dimensionless Parameters 8. Comments and Bibliographical Notes Chapter 2. Natural Convection in Bounded Domains 1. The Steady Case. Basic Results 2. The Small Rayleigh Number Case. Asymptotic Expansions 3. The Structure of Steady Solutions 4. The Evolution Case 5. Comments and Bibliographical Notes Chapter 3. Natural Convection in Unbounded Domains 1. Horizontal Porous Layer 2. Exterior Problem 3. Natural Convection Between Two Horizontal Concentric Cylinders 4. Thermal Boundary-Layer Approximately for Vertical Flow 5. Comments and Bibliographical Notes PART II. MULTIPHASE FLOW Chapter 4. Macroscopic Equations 1. Equations for the Pore Level 2. Macroscopic Balance Equations 3. The Macroscopic Entropy Balance Equation 4. Simplifying Assumptions 5. Comments and Bibliographical Notes Chapter 5. Underground Combustion 1. Different Models 2. Equations for Combustion with Reaction Zone 3. The Thin Reaction Zone 4. Numerical Examples 5. Comments and Bibliographical Notes Appendix 1. Balance Equations for Continuous Media Appendix 2. Distributions and Sobolev Spaces References Index of Symbols Subject Index